On the Cobordism Class of the Hilbert Scheme of a Surface

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dc.creatorEllingsrud, G.
dc.creatorGöttsche, L.
dc.creatorLehn, M.
dc.date1999-04-19
dc.date.accessioned2026-07-07T05:28:44Z
dc.date.available2026-07-07T05:28:44Z
dc.descriptionLet S be a smooth projective surfaces and S^[n] the Hilbert scheme of zero-dimensional subschemes of S of length n. We proof that the class of S^[n] in the complex cobordism ring depends only on the class of the surface itself. Moreover, we compute the cohomology and holomorphic Euler characterisitcs of certain tautological sheaves on S^[n] and prove results on the general structure of certain integrals over polynomials in Chern classes of tautological sheaves.
dc.description19 pages, Latex 2e
dc.identifierhttps://arxiv.org/abs/math/9904095
dc.identifierhttp://arxiv.org/abs/math/9904095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78375
dc.subjectAlgebraic Geometry
dc.subject14C05;14Q10
dc.titleOn the Cobordism Class of the Hilbert Scheme of a Surface
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